(biorxiv https://www.biorxiv.org/content/10.1101/613141v2 )
Cool paper on trying to estimate how many parameters neurons have (h/t Samuel at EA Hotel). I don't feel like they did a good job distinguishing how hard it was for them to fit nonlinearities that would nonetheless be the same across different neurons, versus the number of parameters that were different from neuron to neuron. But just based on differences in physical arrangement of axons and dendrites, there's a lot of opportunity for diversity, and I do think the paper was convincing that neurons are sufficiently nonlinear that this structure is plausibly important. The question is how much neurons undergo selection based on this diversity, or even update their patterns as a form of learning!